The generator matrix

1 0 0 0 0 0 0 1 1
0 1 0 0 0 0 0 1 0
0 0 1 0 0 0 0 1 0
0 0 0 1 0 0 0 1 0
0 0 0 0 1 0 0 1 0
0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 1 1 0

generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+42x^2+14x^3+511x^4+364x^5+1533x^6+2002x^7+2009x^8+3432x^9+2009x^10+2002x^11+1533x^12+364x^13+511x^14+14x^15+42x^16+1x^18

The gray image is a linear code over GF(2) with n=18, k=14 and d=2.
As d=2 is an upper bound for linear (18,14,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 14.
This code was found by Heurico 1.10 in 0.015 seconds.